2014/03/05 by Dariusz Chruściński · 14 citations
Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Class (philosophy) #Computer science #Diagonal #Geometry #Mathematics #Perspective (graphical) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Theoretical physics #quant-ph
paper · pdf · doi:10.1088/1751-8113/47/42/424033
published in Journal of Physics A Mathematical and Theoretical 47(42), 424033 (Institute of Physics) · 14 pages; Submission to Special Issue of J. Phys. A celebrating 50 years of Bell-nonlocality
arxiv created 2014/03/05 · openalex publication_date 2014/10/09 · arxiv updated 2014/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We provide a class of Bell diagonal entanglement witnesses displaying an additional local symmetry—a maximal commutative subgroup of the unitary group U ( n ). Remarkably, this class of witnesses is parameterized by a torus being a maximal commutative subgroup of an orthogonal group . It is shown that a generic element from the class defines an indecomposable entanglement witness. The paper provides a geometric perspective for some aspects of the entanglement theory and an interesting interplay between group theory and block-positive operators in . This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘50 years of Bell’s theorem’.